Question

If f(x) = `x^2 sin  1/x` where x ≠ 0, then the value of the function f at x = 0, so that the function is continuous at x = 0, is ______.

Options

• 0

• – 1

• 1

• None of these

Answer 1

If f(x) = `x^2 sin  1/x` where x ≠ 0, then the value of the function f at x = 0, so that the function is continuous at x = 0, is 0.

Explanation:

Given that: f(x) = `x^2 sin  1/x` where x ≠ 0

So, the value of the function f at x = 0

So that f(x) is continuous is 0.